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Finding the Fourth Proportional to 430.72, 646.10 and 284.76

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Solution

The fourth proportional to 430.72, 646.10 and 284.76 is: 427.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.72 : 646.10 = 284.76 : x
  2. Step 2: Convert to fraction form
    430.72/646.10 = 284.76/x
  3. Step 3: Cross multiply
    430.72x = 646.10 × 284.76
  4. Step 4: Simplify right side
    430.72x = 183,983.44
  5. Step 5: Solve for x
    x = 183,983.44/430.72
  6. Step 6: Final answer
    x = 427.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.